801120 has 48 divisors (see below), whose sum is σ = 2525040. Its totient is φ = 213504.

The previous prime is 801107. The next prime is 801127. The reversal of 801120 is 21108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 801096 and 801105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801127) by changing a digit.

801120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (52605).

2⁸⁰¹¹²⁰ is an apocalyptic number.

801120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801120 is an abundant number, since it is smaller than the sum of its proper divisors (1723920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801120 is a wasteful number, since it uses less digits than its factorization.

801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 801120 is about 895.0530710522. The cubic root of 801120 is about 92.8750779670.

Subtracting from 801120 its sum of digits (12), we obtain a palindrome (801108).

Adding to 801120 its reverse (21108), we get a palindrome (822228).

The spelling of 801120 in words is "eight hundred one thousand, one hundred twenty".